Page 163 - Mathematics

Example 6.31

Find graphically the solution of the following pair of linear simultaneous
equations.
2
3x y−= and 2x y−= 3. Tanzania Institute of Education
Solution
2
Given the two equations 3x y−= and 2x y−= 3. Re-write the equation in
the form y = mx c+ and construct a table of values of each equation as follows:
Table of values for y = 3x − 2 Table of values for y = 2x − 3

x 2 − 1 − 0 1 2 x 2 − 1 − 0 1 2

y 8 − 5 − 2 − 1 4 y 7 − 5 − 3 − 1 − 1
Locate the ordered pairs of values for y 3x – 2 and y 2x – 3 on the same
=
=

xy-plane and draw the graph of each linear equation and identify the point
of intersection of the two lines. The following is the graph representing the
two equations.
y
2

1

-2 -1 0 1 2 3 x
-1
y = 2x - 3
-2

-3
y=3x-2
-4

Q(-1, -5)
-5
-6

-7

From the graph, the two lines intersect at a point (–1, –5). Mathematics Form One

5
Therefore, x = − and y = − is the solution of the system of linear
1
simultaneous equations.

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Mathematics form 1.indd 157